Simplification: (a-b) 2+(b-c) 2+(c-a) 2 - Training Enrollment Network

Simplification: (a-b) 2+(b-c) 2+(c-a) 2

( 1)

(a-b)? +(b-c)？ +(c-a)？ = a？ -2ab+b？ + b？ -2bc+c？ + c？ -2ac+a？

=2a？ +2b？ +2c？ -2ab-2bc-2ca

(2)a-b= 10 1 formula

B-C = 5 2 formula

Formula A-C = 153 Add Formula 2 to Formula 1

Bring 1 Formula 2 and Formula 3 into (a-b)? +(b-c)？ +(c-a)？ middle

(a-b)? +(b-c)？ +(c-a)？ = 350, which is 2a? +2b？ +2c？ -2ab-2ac-2bc = 350

So a? +b？ +c？ -ab-bc-ca = 175

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